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Finding the Fourth Proportional to 356,862.56, 535,959.24 and 314,183.12

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Solution

The fourth proportional to 356,862.56, 535,959.24 and 314,183.12 is: 471,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,862.56 : 535,959.24 = 314,183.12 : x
  2. Step 2: Convert to fraction form
    356,862.56/535,959.24 = 314,183.12/x
  3. Step 3: Cross multiply
    356,862.56x = 535,959.24 × 314,183.12
  4. Step 4: Simplify right side
    356,862.56x = 168,389,346,216.03
  5. Step 5: Solve for x
    x = 168,389,346,216.03/356,862.56
  6. Step 6: Final answer
    x = 471,860.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.